Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles

Tim Austin, Mariusz Lemańczyk

Research output: Contribution to journalArticlepeer-review

Abstract

We show that under some natural ergodicity assumptions, extensions given by Rokhlin cocycles lift the multiplier property if the associated locally compact group extension has only countably many L-eigenvalues. We make use of some analogs of basic results from the theory of finite-rank modules associated to an extension of measure-preserving systems in the setting of a non-singular base.

Original languageEnglish (US)
Pages (from-to)115-131
Number of pages17
JournalJournal of Fixed Point Theory and Applications
Volume6
Issue number1
DOIs
StatePublished - Oct 2009

Keywords

  • Disjointness
  • Ergodicity
  • Joining
  • Non-singular automorphism
  • Relatively finite measure-preserving extension
  • Rokhlin cocycle

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Applied Mathematics

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